30 into 22 best min fragment found: 22/3
  Cut up 30 sticks of length 22 like this:
    4 x (32/3 + 34/3)
    4 x (10 + 12)
    4 x (28/3 + 38/3)
    4 x (26/3 + 40/3)
    4 x (8 + 14)
    10 x (22/3 + 22/3 + 22/3)
  Reassemble as 22 sticks of length 30 like this:
    2 x (22/3 + 34/3 + 34/3)
    4 x (22/3 + 32/3 + 12)
    4 x (22/3 + 10 + 38/3)
    4 x (22/3 + 28/3 + 40/3)
    4 x (22/3 + 26/3 + 14)
    4 x (22/3 + 22/3 + 22/3 + 8)